Least Common Multiple of 2756 and 2763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2756 and 2763 the smallest integer that is 7614828 that is divisible by both numbers.

Least Common Multiple (LCM) of 2756 and 2763 is 7614828.

LCM(2756,2763) = 7614828

LCM of 2756 and 2763

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2756 and 2763

LCM of 2756 and 2763 is 7614828

Least common multiple can be found by multiplying the highest exponent prime factors of 2756 and 2763. First we will calculate the prime factors of 2756 and 2763.

Prime Factorization of 2756


2 2756
2 1378
13 689
53 53
1

Prime factors of 2756 are 2, 13,53. Prime factorization of 2756 in exponential form is:

2756 = 22×131×531

Prime Factorization of 2763


3 2763
3 921
307 307
1

Prime factors of 2763 are 3,307. Prime factorization of 2763 in exponential form is:

2763 = 32×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 2756 and 2763.

LCM(2756,2763) = 22×32×131×531×3071
LCM(2756,2763) = 7614828

Factors of 2756

List of positive integer factors of 2756 that divides 2756 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756

Factors of 2763

List of positive integer factors of 2763 that divides 2763 without a remainder.

1, 3, 9, 307, 921, 2763

Least Common Multiple of 2756 and 2763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2756 and 2763, than apply into the LCM equation.

GCF(2756,2763) = 1
LCM(2756,2763) = ( 2756 × 2763) / 1
LCM(2756,2763) = 7614828 / 1
LCM(2756,2763) = 7614828

Properties of LCM 2756 and 2763

(i) The LCM of 2763 and 2756 is associative

LCM of 2756 and 2763 = LCM of 2763 and 2756

Related Least Common Multiples of 2756

Related Least Common Multiples of 2763

Frequently Asked Questions on LCM of 2756 and 2763

1. What is the LCM of 2756 and 2763?

Answer: LCM of 2756 and 2763 is 7614828.

2. What are the Factors of 2756?

Answer: Factors of 2756 are 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756. There are 12 integers that are factors of 2756. The greatest factor of 2756 is 2756.

3. What are the Factors of 2763?

Answer: Factors of 2763 are 1, 3, 9, 307, 921, 2763. There are 6 integers that are factors of 2763. The greatest factor of 2763 is 2763.

4. How to Find the LCM of 2756 and 2763?

Answer:

Least Common Multiple of 2756 and 2763 = 7614828

Step 1: Find the prime factorization of 2756

2756 = 2 x 2 x 13 x 53

Step 2: Find the prime factorization of 2763

2763 = 3 x 3 x 307

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7614828 = 2 x 2 x 3 x 3 x 13 x 53 x 307

Step 4: Therefore, the least common multiple of 2756 and 2763 is 7614828.